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Finding the Fourth Proportional to 27,849.68, 41,753.88 and 10,316.24

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Solution

The fourth proportional to 27,849.68, 41,753.88 and 10,316.24 is: 15,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849.68 : 41,753.88 = 10,316.24 : x
  2. Step 2: Convert to fraction form
    27,849.68/41,753.88 = 10,316.24/x
  3. Step 3: Cross multiply
    27,849.68x = 41,753.88 × 10,316.24
  4. Step 4: Simplify right side
    27,849.68x = 430,743,047.01
  5. Step 5: Solve for x
    x = 430,743,047.01/27,849.68
  6. Step 6: Final answer
    x = 15,466.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.